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Finding the Fourth Proportional to 12,186.01, 18,259.89 and 9,419.47

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Solution

The fourth proportional to 12,186.01, 18,259.89 and 9,419.47 is: 14,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.01 : 18,259.89 = 9,419.47 : x
  2. Step 2: Convert to fraction form
    12,186.01/18,259.89 = 9,419.47/x
  3. Step 3: Cross multiply
    12,186.01x = 18,259.89 × 9,419.47
  4. Step 4: Simplify right side
    12,186.01x = 171,998,486.06
  5. Step 5: Solve for x
    x = 171,998,486.06/12,186.01
  6. Step 6: Final answer
    x = 14,114.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.